Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
Answer:
1.38 to the nearest hundredth.
Step-by-step explanation:
Dividing:
x + 1 ) 3x - 1 ( 3
3x + 3
-4
so (3x - 1) / (x + 1) = 3 - 4 / x+ 1
Integral of (3 - 4 / x+1 ) = 3x - 4 ln(x + 1)
Between limits of 1 and 2 we have:
(3(2) - 4 ln 3) - (3 - 4 ln2)
= 1.6056 - 0.2274
= 1.3782.
Answer:
125
Step-by-step explanation:
f(1)= the first time (32,000)
n= 9
r= .5 (each term is being mulitplied by .5 to get the next one
We have
32,000*(.5)^(9-1)
32,000*(.5)^8
=125
Answer:
m ≥ –6
Step-by-step explanation:
m+5 ≥ –1
subtract 5 from both sides
m ≥ -6
Suppose we choose a path along the
-axis, so that
:
On the other hand, let's consider an arbitrary line through the origin,
:
The value of the limit then depends on
, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
